Theoretical studies on the anomalous response to external fields in strongly correlated organic crystals

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We studied the low-dimensional strongly correlated electronic systems, motivated by several organic systems which respond anomalously to the magnetic or electric field. Five different topics are studied ; (1) an expotic1○!+1 dimensional metal in strongly correlated electronic system on an anisotropic triangular lattice is proposed, (2) a generalized von Neumann theorem is constructed which enables to design multi-band systems with Dirac points, (3) The one-dimensional quarter-filled strongly correlated electronic system coupled to localized spins is shown to produce frustrated magnetism which respond sensitive to magnetic field, (4) the origin of an anomalous dielectric properties in the dimer Mott insulator, κ-ET_2Cu_2(CN)_3, is clarified based on the quantum electric dipole picture, (5) universal temperature dependence of field induced Tomonaga-Luttinger liquid state in one dimensional gapped spin system is proposed and examined in organic crystal, DIMPY.Thus, the strong correlation of electrons results in various exotic quantum many body states.